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Simplifying 0.75x + 0.05(16 + -1x) = 0.10(78) 0.75x + (16 * 0.05 + -1x * 0.05) = 0.10(78) 0.75x + (0.8 + -0.05x) = 0.10(78) Reorder the terms: 0.8 + 0.75x + -0.05x = 0.10(78) Combine like terms: 0.75x + -0.05x = 0.7x 0.8 + 0.7x = 0.10(78) Multiply 0.10 * 78 0.8 + 0.7x = 7.8 Solving 0.8 + 0.7x = 7.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.7x = 7.8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.7x = 7.8 + -0.8 0.7x = 7.8 + -0.8 Combine like terms: 7.8 + -0.8 = 7 0.7x = 7 Divide each side by '0.7'. x = 10 Simplifying x = 10
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